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Finding the Fourth Proportional to 205.77, 283.91 and 161.97

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Solution

The fourth proportional to 205.77, 283.91 and 161.97 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 283.91 = 161.97 : x
  2. Step 2: Convert to fraction form
    205.77/283.91 = 161.97/x
  3. Step 3: Cross multiply
    205.77x = 283.91 × 161.97
  4. Step 4: Simplify right side
    205.77x = 45,984.09
  5. Step 5: Solve for x
    x = 45,984.09/205.77
  6. Step 6: Final answer
    x = 223.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.